7Y+3(Y-8)=3(Y+2)-3

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Solution for 7Y+3(Y-8)=3(Y+2)-3 equation:


Simplifying
7Y + 3(Y + -8) = 3(Y + 2) + -3

Reorder the terms:
7Y + 3(-8 + Y) = 3(Y + 2) + -3
7Y + (-8 * 3 + Y * 3) = 3(Y + 2) + -3
7Y + (-24 + 3Y) = 3(Y + 2) + -3

Reorder the terms:
-24 + 7Y + 3Y = 3(Y + 2) + -3

Combine like terms: 7Y + 3Y = 10Y
-24 + 10Y = 3(Y + 2) + -3

Reorder the terms:
-24 + 10Y = 3(2 + Y) + -3
-24 + 10Y = (2 * 3 + Y * 3) + -3
-24 + 10Y = (6 + 3Y) + -3

Reorder the terms:
-24 + 10Y = 6 + -3 + 3Y

Combine like terms: 6 + -3 = 3
-24 + 10Y = 3 + 3Y

Solving
-24 + 10Y = 3 + 3Y

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-3Y' to each side of the equation.
-24 + 10Y + -3Y = 3 + 3Y + -3Y

Combine like terms: 10Y + -3Y = 7Y
-24 + 7Y = 3 + 3Y + -3Y

Combine like terms: 3Y + -3Y = 0
-24 + 7Y = 3 + 0
-24 + 7Y = 3

Add '24' to each side of the equation.
-24 + 24 + 7Y = 3 + 24

Combine like terms: -24 + 24 = 0
0 + 7Y = 3 + 24
7Y = 3 + 24

Combine like terms: 3 + 24 = 27
7Y = 27

Divide each side by '7'.
Y = 3.857142857

Simplifying
Y = 3.857142857

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